Finding Slope from a Table: Key Concepts and Applications

The video tutorial explains how to find the slope of a function given as a table. It begins by introducing the slope formula and the need for two ordered pairs. The instructor demonstrates how to select and label these pairs from the table. The values are then substituted into the slope formula to calculate the slope. Finally, the slope is verified by observing the consistent change in Y values as X values increase by one.

What is the formula for finding the slope of a function?

• x2 - x1 over y2 - y1

• y2 + y1 over x2 + x1

• y1 - y2 over x1 - x2

• y2 - y1 over x2 - x1

What is the first step in finding the slope from a table?

• Calculate the difference between y-values

• Select two points from the table

• Substitute the points into the slope formula

• Label the points as x1, y1, x2, y2

Which of the following is an example of an ordered pair?

• negative 1, negative 18

• 1, 0

• x1, y1

• x2, y2

How do you label the first point in the slope formula?

• x2, y2

• x1, y1

• y1, x1

• x, y

What is the value of y2 in the example provided?

• negative 18

• 1

• 0

• 9

What is the result of 0 minus negative 18?

• 18

• negative 9

• negative 18

• 0

What is the slope of the function in the example?

• 1

• 9

• 18

• 2

What does the slope of 9 indicate about the change in y-values?

• Y decreases by 9 for every increase in X by 1

• Y increases by 9 for every increase in X by 1

• Y increases by 1 for every increase in X by 9

• Y remains constant as X changes

If X increases by 1, what should be added to the Y value?

• 1

• 0

• 18

• 9

What is the Y value when X is 1, given the slope is 9 and the initial Y value is negative 18?

• negative 9

• 18

• 0

• 9